Elastic Fields Around the Cohesive Zone of a Mode III Crack Perpendicular to a Bimaterial Interface

[+] Author and Article Information
W. Zhang

Department of Mechanical Engineering, University of South Carolina, Columbia, SC 29208

X. Deng

Department of Mechanical Engineering, University of South Carolina, Columbia, SC 29208deng@engr.sc.edu


Corresponding author.

J. Appl. Mech 74(5), 1049-1052 (Feb 02, 2007) (4 pages) doi:10.1115/1.2723814 History: Received March 03, 2006; Revised February 02, 2007

Asymptotic stress and displacement fields near the cohesive zone ahead of a semi-infinite Mode III crack normal to a bimaterial interface are derived using elliptic coordinates.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

A cracked bimaterial plate with a crack perpendicular to the bimaterial interface and with a crack-tip cohesive zone passing through the interface

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Figure 5

Approximation of cohesive stress distribution of the Dugdale model σzy∕σ0=1 for identical materials (k=1)

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Figure 2

Locations of the crack and cohesive zone quantities in terms of elliptic coordinate u (solid line) and ν (dashed line)

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Figure 3

Contour plots of normalized shear stresses and out-of-plane displacement near the crack tip for k=2: (a)σzx∕τm; (b)σzy∕τm; and (c)uz∕um

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Figure 4

Spatial distributions of normalized shear stresses for k=1∕2: (a)σzy∕τm along y=0±; and (b)σzy∕τm along x=0±



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